Use the Dot Product to Determine if Two Vectors are Orthogonal
-$$\mathbf { v } = 4 \mathbf { i } + 3 \mathbf { j } , \quad \mathbf { w } = 3 \mathbf { i } - 4 \mathbf { j }$$
A) orthogonal
B) parallel
C) neither

Question

Quizplus · Accepted Answer

Two vectors are orthogonal if their dot product is 0. The dot product of $\mathbf{v}$ and $\mathbf{w}$ is $4*3 + 3*(-4) = 12 - 12 = 0$, indicating that they are orthogonal.

Use the Dot Product to Determine If Two Vectors Are v=4i+3j,w=3i−4j\mathbf { v } = 4 \mathbf { i } + 3 \mathbf { j } , \quad \mathbf { w } = 3 \mathbf { i } - 4 \mathbf { j }v=4i+3j,w=3i−4j

Use the Dot Product to Determine If Two Vectors Are $\mathbf { v } = 4 \mathbf { i } + 3 \mathbf { j } , \quad \mathbf { w } = 3 \mathbf { i } - 4 \mathbf { j }$